Choose the right answer from the following if $A = 1$ and $B = 0,$ what is the value of $A . A + B$ ?

$0$

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$A^{2}$

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$A$

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$B$

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Solution

The correct option is C
$A$

Explanation for the correct options
Option(C): Given that $A = 1$ and $B = 0,$
$∴ A . A + B = 1 \times 1 + 0 = 1 = A$
Option(B): $A . A + B = 1$ and $A^{2} = 1^{2} = 1$
$\Rightarrow A . A + B = A^{2}$
Hence, the correct options are option (B) and (C) i.e. $A^{2}$ and $A$ respectively

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